@article{4103,
abstract = {Let A be an arrangement of n lines in the plane. Suppose F1,…, Fk are faces in the dissection induced by A and that Fi is a t(Fi)-gon. We give asymptotic bounds on the maximal sum ∑i=1kt(Fi) which can be realized by k different faces in an arrangement of n lines. The results improve known bounds for k of higher order than n(1/2).},
author = {Herbert Edelsbrunner and Welzl, Emo},
journal = {Journal of Combinatorial Theory Series A},
number = {2},
pages = {159 -- 166},
publisher = {Elsevier},
title = {{On the maximal number of edges of many faces in an arrangement}},
doi = {10.1016/0097-3165(86)90078-6},
volume = {41},
year = {1986},
}